58729 has 8 divisors (see below), whose sum is σ = 67680. Its totient is φ = 50400.

The previous prime is 58727. The next prime is 58733. The reversal of 58729 is 92785.

58729 = 68² + 69² + ... + 78².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58729 - 2¹ = 58727 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58729.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (8460).

2⁵⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

58729 is a deficient number, since it is larger than the sum of its proper divisors (8951).

58729 is a wasteful number, since it uses less digits than its factorization.

58729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its digits is 5040, while the sum is 31.

The square root of 58729 is about 242.3406693067. The cubic root of 58729 is about 38.8702680317.

It can be divided in two parts, 587 and 29, that added together give a palindrome (616).

The spelling of 58729 in words is "fifty-eight thousand, seven hundred twenty-nine".